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Finding the Fourth Proportional to 834.84, 1,149.48 and 710.22

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Solution

The fourth proportional to 834.84, 1,149.48 and 710.22 is: 977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,149.48 = 710.22 : x
  2. Step 2: Convert to fraction form
    834.84/1,149.48 = 710.22/x
  3. Step 3: Cross multiply
    834.84x = 1,149.48 × 710.22
  4. Step 4: Simplify right side
    834.84x = 816,383.69
  5. Step 5: Solve for x
    x = 816,383.69/834.84
  6. Step 6: Final answer
    x = 977.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.